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980450100 = 2232527155627
BaseRepresentation
bin111010011100000…
…111101100110100
32112022220000200200
4322130013230310
54001443400400
6241142240500
733203455050
oct7234075464
92468800620
10980450100
11463490743
12234426130
131281838b6
14942dcc60
155b11db00
hex3a707b34

980450100 has 108 divisors (see below), whose sum is σ = 3512212704. Its totient is φ = 224101440.

The previous prime is 980450089. The next prime is 980450111. The reversal of 980450100 is 1054089.

It is an interprime number because it is at equal distance from previous prime (980450089) and next prime (980450111).

It is a super-2 number, since 2×9804501002 = 1922564797180020000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71514 + ... + 84113.

It is an arithmetic number, because the mean of its divisors is an integer number (32520488).

Almost surely, 2980450100 is an apocalyptic number.

980450100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

980450100 is an abundant number, since it is smaller than the sum of its proper divisors (2531762604).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

980450100 is a wasteful number, since it uses less digits than its factorization.

980450100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155654 (or 155644 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 980450100 is about 31312.1398182877. The cubic root of 980450100 is about 993.4404328267.

The spelling of 980450100 in words is "nine hundred eighty million, four hundred fifty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 155627 311254 466881 622508 778135 933762 1089389 1400643 1556270 1867524 2178778 2334405 2801286 3112540 3268167 3890675 4357556 4668810 5446945 5602572 6536334 7003215 7781350 9337620 9804501 10893890 11672025 13072668 14006430 15562700 16340835 19609002 21787780 23344050 27234725 28012860 32681670 35016075 39218004 46688100 49022505 54469450 65363340 70032150 81704175 98045010 108938900 140064300 163408350 196090020 245112525 326816700 490225050 980450100